167164921 has 24 divisors (see below), whose sum is σ = 212899104. Its totient is φ = 129790080.

The previous prime is 167164909. The next prime is 167164931. The reversal of 167164921 is 129461761.

It is not a de Polignac number, because 167164921 - 2¹³ = 167156729 is a prime.

It is a super-2 number, since 2×167164921² = 55888221625872482, which contains 22 as substring.

Its product of digits (18144) is a multiple of the sum of its prime divisors (1134).

It is not an unprimeable number, because it can be changed into a prime (167164901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281601 + ... + 282193.

It is an arithmetic number, because the mean of its divisors is an integer number (8870796).

Almost surely, 2^167164921 is an apocalyptic number.

167164921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

167164921 is a deficient number, since it is larger than the sum of its proper divisors (45734183).

167164921 is a wasteful number, since it uses less digits than its factorization.

167164921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1134 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 167164921 is about 12929.2273937772. The cubic root of 167164921 is about 550.8690624231.

The spelling of 167164921 in words is "one hundred sixty-seven million, one hundred sixty-four thousand, nine hundred twenty-one".